Homogenization of reinforced periodic one-codimensional structures
Interior and exterior solutions for boundary value problems in composite elastic and viscous media.
Modeling, description, and characterization of fractal pore via mathematical morphology.
Morphological analysis and variational formulation in heterogeneous thermoelasticity.
This paper is devoted to several applications of morphological analysis applied to the bounding of the overall behaviour of composite materials. In particular we focus our attention to the generalization of the Hashin-Shtrikmann variational principles to thermoelasticity.
On some sharp bounds for the off-diagonal elements of the homogenized tensor
In this paper we study bounds for the off-diagonal elements of the homogenized tensor for the stationary heat conduction problem. We also state that these bounds are sharp by proving a formula for the homogenized tensor in the case of laminate structures.
On the anelastic evolution of second-grade materials.
On the domain of applicability of the Mori-Tanaka effective medium theory
The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.
On the edge singularities in composite media. Influence of anisotropy
On the existence and regularity of solutions to the problem of transmission
Optimum composite material design
Plane stress elasto-plastic constitutive equations obtained by homogenizing one-dimensional structures
Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.
Some thoughts on the material mechanics of materials.
This paper outlines recent developments and prospects in the application of the continuum mechanics expressed intrinsically on the material manifold itself. This includes applications to materially inhomogeneous materials, physical effects which, in this vision, manifest themselves as quasi-inhomogeneities, and the notion of thermodynamical driving force of the dissipative progress of singular point sets on the material manifold with special emphasis on fracture, shock waves and phase-transition...
Study of a boundary layer problem in elastic composite materials
Sui teoremi di reciprocità dell'elasticità lineare classica in domini non limitati
We extend the well-known reciprocal theorems of linear elasticity to unbounded domains. The theorems do not require that the elastic body is isotropic and homogeneous.
Sur une méthode de calcul de structures soumises à des chargements cycliques : l'homogénéisation en temps
The method of phase integrals in a plane problem of elasticity for inhomogeneous bodies
The warping, the torsion and the Neumann problems in a quasi-periodically perforated domain
Thin inclusions in linear elasticity: a variational approach.
Time splitting for wave equations in random media
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the simplified...